Self Sustained Traversable Wormholes Induced by Gravity's Rainbow and Noncommutative Geometry

TL;DR

This paper investigates how Noncommutative Geometry and Gravity's Rainbow influence the properties of self-sustained traversable wormholes, concluding they are only theoretically traversable due to their Planckian size.

Contribution

It compares the effects of two quantum gravity-inspired models on wormhole stability and size, revealing limitations on practical traversability.

Findings

Wormholes are of Planckian size under both models

Traversability is theoretically possible but practically unfeasible

Quantum fluctuations sustain the wormholes

Abstract

We compare the effects of Noncommutative Geometry and Gravity's Rainbow on traversable wormholes which are sustained by their own gravitational quantum fluctuations. Fixing the geometry on a well tested model, we find that the final result shows that the wormhole is of the Planckian size. This means that the traversability of the wormhole is in principle, but not in practice.